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RL Series Circuit Impedance Calculator

Compute the AC impedance, inductive reactance, phase angle, and power factor of an RL series circuit from resistance R, inductance L, and frequency f.

Input

Enter resistance R, inductance L, and frequency f to compute the impedance of an RL series circuit.

Ω

Enter the resistance value in ohms.

H

Enter the inductance value in henries.

Hz

Enter the AC frequency in hertz.

Result

Impedance magnitude Z

101.226183Ω

Angular frequency omega = 314.159265 rad/s

Inductive reactance XL

15.707963 Ω

Phase angle theta

8.927055 deg

Power factor cos theta

0.987887

R = 100 ΩXl = 15.707963Z = 101.226183 Ω8.927055 deg

Computed from Z = square root of (R squared plus XL squared), XL = 2 pi f L, phase angle theta = atan(XL divided by R), and power factor = R divided by Z.

How it works

  • The angular frequency is found from omega = 2 pi f, where f is the frequency.
  • The inductive reactance is XL = omega L.
  • The impedance magnitude is Z = square root of (R squared plus XL squared).
  • The phase angle is theta = atan(XL divided by R), the angle by which voltage leads current.
  • The power factor is cos theta = R divided by Z.

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